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Finding the Fourth Proportional to 80,975.60, 111,746.50 and 45,164.70

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Solution

The fourth proportional to 80,975.60, 111,746.50 and 45,164.70 is: 62,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,975.60 : 111,746.50 = 45,164.70 : x
  2. Step 2: Convert to fraction form
    80,975.60/111,746.50 = 45,164.70/x
  3. Step 3: Cross multiply
    80,975.60x = 111,746.50 × 45,164.70
  4. Step 4: Simplify right side
    80,975.60x = 5,046,997,148.55
  5. Step 5: Solve for x
    x = 5,046,997,148.55/80,975.60
  6. Step 6: Final answer
    x = 62,327.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.